<?xml version="1.0"?>
<div class="add">

<span class="kw">consider </span><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font><span class="kw"> such that </span><br/><a NAME="E2:47_1_1"/><span class="lab"><font color="Green" title="E21">A0</font></span>: 
( <font color="Maroon" title="c2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">L</font> &amp; <font color="Maroon" title="c3">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">L</font> &amp; <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">b</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="subset_1.html#T45" onmouseover="rs('subset_1/T45')" onmouseout="rh()">SUBSET_1:45</a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c4">F</font> being   <a href="filter_0.html#NM1" title="FILTER_0:NM.1">Filter</a> of <font color="Maroon" title="c1">L</font><span class="kw"> such that </span><br/><a NAME="E4:47_1_1"/><span class="lab"><font color="Green" title="E22">A1</font></span>: 
<font color="Maroon" title="c4">F</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="openlatt.html#K7" title="OPENLATT:func.7">F_primeSet</a> <font color="Maroon" title="c1">L</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="openlatt.html#T21" onmouseover="rs('openlatt/T21')" onmouseout="rh()">OPENLATT:21</a>, <a class="txt" href="#E2:47_1_1"><span class="lab"><font color="Green" title="E21">A0</font></span></a></span>;<br/>
<a NAME="E5:47_1_1"/>
 <a href="openlatt.html#K7" title="OPENLATT:func.7">F_primeSet</a> <font color="Maroon" title="c1">L</font> <a href="xboole_0.html#R2" title="XBOOLE_0:pred.2">c&lt;</a>  <a href="latticea.html#K1" title="LATTICEA:func.1">PFilters</a> <font color="Maroon" title="c1">L</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="latticea.html#T4" target="_self" onmouseover="rs('latticea/T4')" onmouseout="rh()">PrimFil</a></span>;<br/>
<span class="kw">hence </span><a NAME="E6:47_1_1"/>
 not  <a href="latticea.html#K5" title="LATTICEA:func.5">StoneSpace</a> <font color="Maroon" title="c1">L</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="latticea.html#D7" target="_self" onmouseover="rs('latticea/D7')" onmouseout="rh()">StoneDef</a>, <a class="txt" href="#E4:47_1_1"><span class="lab"><font color="Green" title="E22">A1</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
